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Rapoport A. — N-person game theory: Concepts and Applications
Rapoport A. — N-person game theory: Concepts and Applications



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Название: N-person game theory: Concepts and Applications

Автор: Rapoport A.

Аннотация:

Game theory is properly a branch of mathematics. As such it is concerned with assertions which can be proved to be true if certain other assertions are true. This way of establishing truth by reference to assertions previously established as true would lead to infinite regress unless certain fundamental assertions were simply accepted as true (without proof). These basic assertions are called axioms. Assertions whose truth is derived by logical proof are called theorems. Game theory, like any other mathematical theory, is essentially a collection of theorems derived from axioms...


Язык: en

Рубрика: Математика/

Серия: Сделано в холле

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 345

Добавлена в каталог: 04.12.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Primitive terms      11
Prisoner's Dilemma      79 82 149
Prisoner's Dilemma, single cooperator in      80
Prisoner's Dilemma, single defector in      80
Prisoner's Dilemma, Three-person (three-sided)      79
Prisoner's Dilemma, Three-person (three-sided), characteristic function of      90
Prisoner's Dilemma, Two-person      80
Privileged person      101
Pro-rata gain      222—223 289—290 293
Probability theory      14
Problems with "no solutions"      51
Product of two games      214
Psychological, aspects of conflict of interests      180
Psychological, assumptions      131
Psychologically stable configurations      130
quota      229 see quota"
Quota as a solution      232
Quota, experimental applications of      262
Quota, weighted majority game      217
Raiffa, H.      7 111 168 194 n312 n314 n316
random device      62
Rational choice      87
Rational counter-coalition      81
Rational decisions      46 49 56
Rational opponents      45
Rational players      56 65 87—88 136 164 233
Rational players, prospects of      106
Rational, actor      304
Rational, behavior      124
Rational, non-, irrational, rationale      284
Rationality      310
Rationality of traders      199
Rationality, "higher"      306
Rationality, collective      87 90 106 172 238
Rationality, concept of      76 135—136 284
Rationality, criteria of      101
Rationality, group      87 88 90 114—116 145 161 163 304
Rationality, Harsanyi's conception of      180
Rationality, individual      70 76 87 88 90—91 116 125 238 304
Rationality, standard of      285
Real life, data      298
Real life, situations      49 57—58 62
Realizability      150
Relations      28
Relations, asymmetric      29
Relations, complete      29
Relations, reflexive      28
Relations, symmetric      28
Relations, transitive      29
Returns, decreasing, increasing      206
Riker, W.H.      250—251 298—299 n316
Risks, calculated      45
Rogow, Arnold      245 n315
Saddle point      60—63 65 73—75 80
Saddle point in Two-person game      74
Saddle point, strategies containing      74
Security level      162 187
Self-control      183
Sets      13 15
Sets as arguments of functions      32
Sets as elements      34
Sets as ranges of functions      32
Sets of partitions      34
Sets of players      33
Sets of sets      32 33
Sets of sets of sets      33
Sets, "a set"      14 22
Sets, "belonging to a"      14 15
Sets, addition of      21
Sets, complement of      32
Sets, disjoint      17 21 34
Sets, elements of      16 24
Sets, empty      17 21
Sets, functions of a certain set      40
Sets, infinite      15
Sets, multiplication of      21
Sets, null      17
Sets, subsets      18 22
Sets, subsets, proper      18
Sets, subsets, set of      22 23
Sets, subsets, value of a game to a union of      78
Sets, subtraction of      17
Sets, superset      16 18 21 24
Sets, theory of      13
Settlement      305—306
Shapley value      40 106 109 111 114 143 168 179 180 235 243—244 285 291 293—294
Shapley value as power index      220 242—243 250—251 299
Shapley value as standard of fairness      235
Shapley value, experimental applications of      256
Shapley value, payoffs      113 222
Shapley value, procedure      162 164 166—167 n314
Shapley value, solution      112 132—133 167 170 179 286 291 305
Shapley, L.S.      211 244 271 n315
Shubik, M.      271 283 n312 n315—316
Side payments      84 88 122 124 159 161 199
Simple majority      221
Simplexes      34 36 152 157
Social situations formalized as games      n313
Social situations formalized as games, resembling games      285
Social, control      183
Social, friction      144 309
Social, justice      307
Social, mores      235
Social, norms      102
Social, science applied      183
Sociopsychological factors      293
Solution(s)      96 98 100—102 219 see Harsanyi Von
Solution(s) of a large market game      202 204
Solution(s) of cooperative games      107
Solution(s) of Four-person game with distinct imputation simplexes      156
Solution(s), discriminating      n313
Solution(s), existence (or non-existence) of      n313
Solution(s), finite      225
Solution(s), finite-symmetric      225—226
Solution(s), intuitive justification of      95
Solution(s), normative      113
Solution(s), particular      102
Solution(s), polyhedral      157
Solution(s), strong      120 227
Solution(s), symmetric      101 120 221 225 n313
Solution(s), theory of      98
Space      34
Space trade      198
Space, n-dimensional      36
Space, payoff      174 see
Space, two-dimensional      35
Stability      95
Stable configurations      288 305 n313 see
Stable pairs      232 286 see "Players"
Stable world      307
Standards, of behavior      190 195 202 225 285
Standards, of fairness      235 237 303
Standards, symmetric      221
Starred derivative      23
status quo      163
Status vector      172
Status-point      162—164 166
Stockholders', meetings      217
Stockholders', voting power      217
Strategic, calculations      45
Strategic, choices      49 87
Strategic, community      304
Strategic, conflict      45
Strategic, mode of thought      304
Strategic, strict analysis      136
Strategic, versatility      n312
Strategically equivalent games      258
Strategy(ies)      27 58 62 68
Strategy(ies) in equilibrium      63 158—159
Strategy(ies) of coalition-forming      238
Strategy(ies), "best"      61 63 66 168 303
Strategy(ies), "effective"      48 52 56—57 61 66—67
Strategy(ies), available      61—62 70
Strategy(ies), best pure      65
Strategy(ies), conditional      74
Strategy(ies), coordinated      65 159 167
Strategy(ies), dominated      73
Strategy(ies), dominating      166
Strategy(ies), joint choice of      65
Strategy(ies), logical structure      184
Strategy(ies), maximin      61
Strategy(ies), minimax      61 179
Strategy(ies), mixed      62—64 67—68 158 160 163 n312
Strategy(ies), mixed-coordinated      164
Strategy(ies), optimal      238
Strategy(ies), pure      64 66 158
Strategy, art of      302
Strategy, behavioral      n312
Strategy, definitions of      54 56 60 70 n311
Strategy, extensions of concept of      62
Strategy, games of      45
Strategy, matrix      61
Strategy, policy      75
Sum of two games      214
Super-additive properties      81 83
Surplus      126
Surplus maximum      126
symbols      12 13
Syndicates      170 172
Syndicates, dividends to members of      173—174
Syndicates, grand      174 178
Syndicates, sectional      174
Termination rule      53 n311
Theorem(s)      11 13
Theorem(s), fundamental, of N-person game      n313
Theoretical economics      307
Thompson, G.L.      n312
Thrall, "Thrall power"      242 n314
Thrall, R.      7 156
Threat strategy      164 173—174 178
Threat-point as solution      166
Tic-Tac-Toe      57 61
Total economy      206
Trade, space      198
Trade, unions      234
Trading agreement      204
Transformation, positive linear      163
Two-party system      245
Understanding, intuitive      184
Understanding, intuitive mathematicians'      184
Union (of sets)      18 20
United Nations Security Council      215—216 218
United Nations Security Council, (the) Big Five of      215 218
United Nations Security Council, non-permanent members of      219
United Nations Security Council, voting rules      218
United States, Congress      211 216
United States, Congress, as product game      215 250
United States, Constitution, amending of      211
United States, electoral college      217 244
United States, federal legislature      245
United States, House of Representatives      245
United States, House of Representatives, as majority game      215
United States, President, presidency      245
United States, presidential election      216
United States, presidential election of 1824      298
United States, presidential election, nominating convention      243
United States, Senate      246
Utilitarian point      199
Utility(ies)      125 196 307 see
Utility(ies), additive      168 178
Utility(ies), comparison of      307
Utility(ies), comparison, interpersonal      161—162 199
Utility(ies), diminishing returns of      200
Utility(ies), expected, maximization of      87
Utility(ies), functions      200
Utility(ies), joint, maximization of      199 200
Utility(ies), negative      124
Utility(ies), non-transferable      179
Utility(ies), scale, normalization of      165
Utility(ies), subjective      309
Utility(ies), theory      307
Utility(ies), transferable      170 178 287 293
Utility(ies), transferable-and-comparable      307
Utility(ies), transferable-and-conservative      159 161
Value, of a characteristic function      38
Value, of a game      33 38
Vectors      34
Vectors, components of      35
Vectors, sum of      35
Vectors, weighted average of      35
Venn diagram      19
Veto      210 216
Vickrey, W.      120 227 n313
Vinacke, W. Edgar      295 n316
von Neumann — Morgenstem, "standard of behavior"      285
von Neumann — Morgenstem, of Three-person games      101 103
von Neumann — Morgenstem, of Three-person non-constant-sum games      102—103
von Neumann — Morgenstem, solution      93 95 99 100 103—105 113—114 187 191 193 195 225—227 285—286 309 n312—313
von Neumann — Morgenstem, solution as symmetric      220
von Neumann — Morgenstem, theory      97 105 146 149 190 201—202 221 227 307
von Neumann, J.      6 see
War      45 302 304
Zeuthen, F.      n314—315
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